E. Herzallah, M., Radwan, A. (2019). Existence of mild solutions to semilinear fractional differential inclusion with deviated advanced nonlocal conditions. test, 27(1), 1-15. doi: 10.1186/s42787-019-0048-3
Mohamed A. E. Herzallah; Ashraf H. A. Radwan. "Existence of mild solutions to semilinear fractional differential inclusion with deviated advanced nonlocal conditions". test, 27, 1, 2019, 1-15. doi: 10.1186/s42787-019-0048-3
E. Herzallah, M., Radwan, A. (2019). 'Existence of mild solutions to semilinear fractional differential inclusion with deviated advanced nonlocal conditions', test, 27(1), pp. 1-15. doi: 10.1186/s42787-019-0048-3
E. Herzallah, M., Radwan, A. Existence of mild solutions to semilinear fractional differential inclusion with deviated advanced nonlocal conditions. test, 2019; 27(1): 1-15. doi: 10.1186/s42787-019-0048-3

Existence of mild solutions to semilinear fractional differential inclusion with deviated advanced nonlocal conditions

Journal of the Egyptian Mathematical Society
Volume 27, Issue 1, 2019, Pages 1-15    PDF (457.18 K)
DOI: 10.1186/s42787-019-0048-3
Authors
Mohamed A. E. Herzallah; Ashraf H. A. Radwan
Faculty of Science, Zagazig University, Zagazig, Egypt
Abstract
This paper is devoted to study the existence of at least one continuous mild solution to
semilinear fractional differential inclusion with deviated-advanced nonlocal conditions.
We develop the results obtained, by exchanging the deviated-advanced nonlocal
condition to an integral form. Our results will be accomplished by using the nonlinear
Leray-Schauder’s alternative fixed point theorem. The main results are well illustrated
with the aid of an example.

Keywords
Caputo derivative; Differential inclusion; Nonlocal conditions; Deviated-advanced nonlocal condition; Schauder’s fixed point theorem
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